## Topology, Volume 2 |

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#### LibraryThing Review

User Review - johnnylogic - LibraryThingDelightful text emphasizing point-set and the significance of limit sets. Much more readable than the elegant, yet rarified Kolmolgorov. Read full review

### Contents

Topological Spaces and Functions | 1 |

The Elements of Pointset Topology | 37 |

Further Topics in Pointset Topology | 105 |

Copyright | |

8 other sections not shown

### Common terms and phrases

1-cycle 1-simplexes abelian Axiom barycentric subdivision boundary Cantor set Cech cycle Cech homology chain group chain-mapping closed sets closed subset closure cochain cohomology collection compact Hausdorff space compact space component consider construct continuous mapping continuum coordinates Corollary CP(L defined definition denote diameter dimension equivalent Euclidean example Exercise finite number follows free group function geometric given groups CP(K Hausdorff space hence homeomorphism homology groups homology theory homotopy HP(K induced homomorphisms infinite integer intersection interval inverse limit isomorphic Lemma lies limit point locally compact locally connected n-cell n-sphere nonempty open set open set containing p-chain pair Peano space polytope Proof prove reader real numbers result satisfies Section separable sequence simple chain simplex simplicial complex simplicial mapping subcomplex subgroup subspace Suppose Theorem topological group topological space topology torus triangulation union vector vertex vertices zero